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slavikrds [6]
3 years ago
11

A certain store has a fax machine available for use by customers. The store charges $1.70 to send the first page and $0.55 for e

ach subsequent page. Use an inequality to find the maximum number of pages that can be faxed for $6.10
Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0
We need to develop an inequality that would calculate the minimum number of pages that can be faxed for the total amount of $6.10 given that the first page was charged $1.70 and $0.55 for the subsequent pages.

Let x represents the subsequent pages, such that the inequality is shown below:
$6.10 > $0.55X + $1.70.

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Number of darts that hit the bull's eye = 15 x 40/100 = 6
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The reciprocal is -3/23.
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B.) 6?....
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Which of the following are ordered pairs for the equation y = 1/8x + 11
Anna11 [10]

Answer:

(0, 11) is a solution.

(8, 12)  is a solution.

(16, 13) is a solution

(1, 89/8)  

(2,  45/4)

Step-by-step explanation:

y = 1/8x + 11

for this equation....

y = (1/8) x + 11

let x = 0  get

y = 0 + 11 = 11

(0, 11) is a solution.

(8, 12)  is a solution.

(16, 13) is a solution

(1, 89/8)   because    y = 1/8 + 11 = 1/8 + 88/8 = 89/8

(2,  45/4)

3 0
3 years ago
2x^2+3x-2, a=0 How do I find the derivative?
Ghella [55]

You can use the definition:

\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h

Then if

f(x) = 2x^2+3x-2

we have

f(x+h) = 2(x+h)^2+3(x+h) - 2 = 2x^2 + 4xh+2h^2+3x+3h-2

Then the derivative is

\displaystyle f'(x) = \lim_{h\to0}\frac{(2x^2+4xh+2h^2+3x+3h-2)-(2x^2+3x-2)}h \\\\ f'(x) = \lim_{h\to0}\frac{4xh+2h^2+3h}h \\\\ f'(x) = \lim_{h\to0}(4x+2h+3) = \boxed{4x+3}

I'm guessing the second part of the question asks you to find the tangent line to <em>f(x)</em> at the point <em>a</em> = 0. The slope of the tangent line to this point is

f'(0) = 4(0) + 3 = 3

and when <em>a</em> = 0, we have <em>f(a)</em> = <em>f</em> (0) = -2, so the graph of <em>f(x)</em> passes through the point (0, -2).

Use the point-slope formula to get the equation of the tangent line:

<em>y</em> - (-2) = 3 (<em>x</em> - 0)

<em>y</em> + 2 = 3<em>x</em>

<em>y</em> = 3<em>x</em> - 2

5 0
3 years ago
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